A researcher computes a two-way between-subjects ANOVA and finds a significant A $\times$ B interaction and two main effects.Which significant effect should be analyzed first?
A)the significant main effect for one factor
B)the significant main effect for both factors
C)the significant interaction
D)No effect needs to be analyzed further.

Question

Quizplus · Accepted Answer

The significant interaction should be analyzed first as it suggests that the effect of one factor on the outcome depends on the level of the other factor. It is important to examine the pattern of means for each combination of levels of the two factors to understand the nature of the interaction. Only after analyzing the interaction can the main effects be interpreted properly.

A Researcher Computes a Two-Way Between-Subjects ANOVA and Finds a Significant